• Title/Summary/Keyword: primary submodule

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THE PRODUCT OF MULTIPLICATION SUBMODULES

  • ATANI, SHAHABADDIN EBRAHIMI
    • Honam Mathematical Journal
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    • v.27 no.1
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    • pp.1-8
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    • 2005
  • Let R be a commutative ring with non-zero identity. This paper is devoted to the study some of properties of the product of submodules of a multiplication module. Suppose N is a submodule of a multiplication R-module M. We give a condition which allows us to determine whether N is finitely generated when we assume some power of N is finitely generated.

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